Graded structures and differential operators on nearly holomorphic and quasimodular forms on classical groups
Alexei Panchishkin
Abstract:We wish to use graded structures [KrVu87], [Vu01] on differential operators and quasimodular forms on classical groups and show that these structures provide a tool to construct p-adic measures and p-adic L-functions on the corresponding non-archimedean weight spaces.An approach to constructions of automorphic L-functions on unitary groups and their padic avatars is presented. For an algebraic group G over a number field K these L functions are certain Euler products L(s, π, r, χ). In particular, our construct… Show more
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